sentential translation,

multiple choice questions, sentential translation, and argument forms

For questions 11-20, please pick the most accurate sentential translation for the natural language counterpart.

For questions 21-30, please state the argument form using the entire name – do not abbreviate

Question 1

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How many inferences are made in a complex argument?

Select one:
a. more than one
b. one
c. two
d. none
e. b and c

Question 2
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A claim/proposition is:

Select one:
a. a truth-functional statement
b. can act as support for a conclusion in an argument
c. can be supported by other claims in an argument
d. b and c
e. all of the above

Question 3
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Pick the correct combination and order of premise(s) and conclusion(s) below to correctly fill in the blanks in the given argument:

___________ given that ____________ .

Select one:
a. premise, premise
b. premise, conclusion
c. conclusion, conclusion
d. conclusion, premise
e. none of the above

Question 4
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Which of the following are components of an argument:

Select one:
a. inferences
b. premises
c. conclusions
d. all of the above
e. none of the above

Question 5
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An argument that predicts what will happen in the future, based on what has happened in the past, is an inductive argument.

Select one:
True
False

Question 6
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An invalid deductive argument can be sound.

Select one:
True
False

Question 7
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A valid deductive argument can contain false claims.

Select one:
True
False

Question 8
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Determine if the following claim is either true or false:

“Either Richard Nixon was president or Babe Ruth was an alien.”

Select one:
True
False

Question 9
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Identify the correct logical operator in the following claim from the options below:

“Peanut butter and Pop Tarts are synthetic foods.”

Select one:
a. conditional
b. negation
c. conjunction
d. disjunction

Question 10
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Determine if the following claim is either true or false:

“If Lady Gaga is president, then San Francisco is in Colorado.”

Select one:
True
False

Question 11
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Either Swatch has a chrome face and Rado advertises a calendar watch, or Tissot has luminous hands.

S = “Swatch has a chrome face”; R = “Rado advertises a calendar watch”; T = “Tissot has luminous hands”

Select one:
a. (S • R) v T
b. S • R v T
c. (S v R) • T
d. S • (R v T)
e. S v (R • T)

Question 12
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If Movado offers a blue dial, then neither Fossil is water resistant nor Nautica promotes a titanium case.

M = “Movado offers a blue dial”; F = “Fossil is water resistant”; N = “Nautica promotes a titanium case”

Select one:
a. M ? (~F ? ~N)
b. M ? (~F • N)
c. M ? ~ (F ? N)
d. M ? (~F • ~N)
e. M ? ~ (F ? N)

Question 13
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Either Norwegian eases its dress codes or Oceania enlarges its fleet and Seabourn reduces its fares.

N = “Norwegian eases its dress codes”; O = “Oceania enlarges its fleet”; S = “Seabourn reduces its fares”

Select one:
a. N ? (O • S)
b. (N • O) ? S
c. N ? O • S
d. N • (O ? S)
e. (N ? O) • S

Question 14
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If Holland remodels its staterooms, then not either Regent enlarges its casinos or Celebrity revises its itineraries.

H = “Holland remodels its staterooms”; R = “Regent enlarges its casinos”; C = “Celebrity revises its itineraries”

Select one:
a. H ? (~R ? ~C)
b. (~R ? ~C) ? H
c. H ? (~R ? C)
d. H ? ~ (R ? C)
e. ~ (R ? C) ? H

Question 15
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If either hamburgers are nutritious or Folgers is refreshing, then butter is bland.

H = “hamburgers are nutritious”; F = “Folgers is refreshing”; B = “butter is bland”

Select one:
a. B ? H ? F
b. (H ? F) ? B
c. B ? (H ? F)
d. (H ? B) ? F
e. (B ? H) ? F

Question 16
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If Alaska is beautiful, then neither Hawaii is majestic nor Portland is desirable.

A = “Alaska is beautiful”; H = “Hawaii is majestic”; P = “Portland is desirable”

Select one:
a. A ? ~H • ~P
b. ~ (H ? P) ? A
c. (~H ? ~P) ? A
d. A ? ~ (H ? P)
e. A ? (~H ? ~P)

Question 17
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Amherst reduces class size, and either Williams increases enrollment or Smith raises tuition.

A = “Amherst reduces class sizes”; W = “Williams increases enrollment”; S = “Smith raises tuition”

Select one:
a. A ? (W ? S)
b. A ? (W • S)
c. A • (W ? S)
d. (A • W) ? S
e. A • (W ? S)

Question 18
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If Williams increases enrollment, then not both Fordham and Georgetown expand course offerings.

W = “Williams increases enrollment”; F = “Fordham expands course offerings”; G = “Georgetown expands course offerings”

Select one:
a. W ? (~F • ~G)
b. W ? ~ (F ? G)
c. W ? ~ (F • G)
d. W ? ~ (F ? G)
e. W • ~(F • G)

Question 19
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If Rice hires new faculty then neither Duke nor Tulane increases student aid.

R = “Rice hires new faculty”; D = “Duke increases student aid”; T = Tulane increases student aid”

Select one:
a. (~D ? ~T) ? R
b. R • ~ (D ? T)
c. R ? ~ (D ? T)
d. R ? (~D ? ~T)
e. ~ (D ? T) ? R

Question 20
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It is not the case that either Honda reduces inventory and Mercedes introduces a new model or Toyota closes a factory and Fiat improves mileage.

H = “Honda reduces inventory”; M = “Mercedes introduces a new model”; T = “Toyota closes a factory”; F = “Fiat improves mileage”

Select one:
a. ~ (H • M) v ~ (T • F)
b. ~ [(H • M) v (T • F)]
c. ~ (H v M) • ~(T v F)
d. (~H • ~M) v (~T • ~F)
e. ~ [(H v M) • (T v F)]

Question 21
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Determine the argument form below:

L

~E ? ~L

E

Answer:

Question 22
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Determine the argument form below:

(~H ? B) • (L ? ~T)

T ? ~B

H ? ~L

Answer:

Question 23
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Determine the argument form below:

M

~M ? G

~G

Answer:

Question 24
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Determine the argument form below:

~T ? ~W

~T

~W

Answer:

Question 25
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Determine the argument form below:

~A ? ~H

E ? ~A

E ? ~H

Answer:

Question 26
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Determine the argument form below:

~P ? ~D

~D

~P

Answer:

Question 27
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Determine the argument form below:

(S ? Q) • (~W ? ~C)

S ? ~ W

Q ? ~C

Answer:

Question 28
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Determine the argument form below:

Q ? ~S

S

Q

Answer:

Question 29
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Determine the argument form below:

(Q ? E) • (D ? ~E)

~E ? E

~Q ? ~D

Answer:

Question 30
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Determine the argument form below:

[P ? (D ? T)] ? ~ (C • R)

[P ? (D ? T)]

~ (C • R)

Answer: